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February 2, 2015 19:03
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Mandelbrot Set generators in Python
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| from scipy import arange,power | |
| pinf = float("inf") | |
| ninf = float("-inf") | |
| def isBad(x): | |
| return x != x or x == pinf or x == ninf | |
| def inMend(c): | |
| z = c**2 + c | |
| for i in range(0,75): | |
| try: | |
| z = z**2 + c | |
| except: | |
| return False | |
| if isBad(z.real) or isBad(z.imag): | |
| return False | |
| return True | |
| #main | |
| output = "" | |
| for y in arange(-1,1,.02): | |
| for x in arange(-2,1,.015): | |
| z = complex(x,y) | |
| if inMend(z): | |
| output+= "#" | |
| else: | |
| output +="." | |
| output+="\n" | |
| print output |
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| import scipy as S | |
| #main | |
| ystep = 0.02 | |
| xstep = 0.015 | |
| c = S.array([[complex(x,y) for x in S.arange(-2,1,xstep)] for y in S.arange(-1,1,ystep)]) | |
| z = S.power(c,2) + c | |
| for i in range(50): | |
| z = S.power(z,2) + c | |
| output = "" | |
| for y in z: | |
| for x in y: | |
| output += "#" if S.isfinite(x) else "." | |
| output +="\n" | |
| print output |
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| window = (500,500) | |
| mwindow = ((-1,1),(-1,1)) | |
| size(window[0],window[1]) | |
| pinf = float("inf") | |
| ninf = float("-inf") | |
| def isBad(x): | |
| return x != x or x == pinf or x == ninf | |
| def inMend(z,c): | |
| for i in range(0,100): | |
| try: | |
| z = z**2 + c | |
| except: | |
| return i | |
| if isBad(z.real) or isBad(z.imag): | |
| return i | |
| return 0 | |
| #main | |
| colormode(HSB) | |
| translate(250,250) | |
| background(0,0,0) | |
| for y_i in range(-250,250): | |
| for x_i in range(-250,250): | |
| y= y_i/250.0 | |
| x= x_i/250.0 | |
| z = complex(x,y) | |
| divTime = inMend(z,z) | |
| if divTime == 0: | |
| continue | |
| #rect(x_i,y_i,1,1) | |
| else: | |
| fill(divTime/50.0,1,1) | |
| rect(x_i,y_i,1,1) |
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